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Finding the Fourth Proportional to 312,250.70, 468,377.22 and 75,593

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Solution

The fourth proportional to 312,250.70, 468,377.22 and 75,593 is: 113,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,250.70 : 468,377.22 = 75,593 : x
  2. Step 2: Convert to fraction form
    312,250.70/468,377.22 = 75,593/x
  3. Step 3: Cross multiply
    312,250.70x = 468,377.22 × 75,593
  4. Step 4: Simplify right side
    312,250.70x = 35,406,039,191.46
  5. Step 5: Solve for x
    x = 35,406,039,191.46/312,250.70
  6. Step 6: Final answer
    x = 113,389.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.